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Thermodynamical Consequences of Strain Softening in Tension

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Author

Summary, in English

The strain softening behavior of a tension bar loaded by an increasing elongation is analyzed. The constitutive model consists of linear elasticity in combination with associated plasticity theory using a maximum tensile stress criterion as yield surface. The resulting mechanical stability criterion is augmented by considerations of the use of the second law of thermodynamics. These thermodynamical considerations imply a significant reduction in the possible strain softening responses. Moreover, for very brittle material behavior, it is shown that the softening region cannot be considered to have a specific strain state, but rather is described by a strrss-elongation relation. This result provides strong physical support for a fictitious crack model. This crack model is then reevaluated in the spirit of a smeared crack approach and the resulting expressions turn out to be identical with those of a composite fracture model.

Department/s

Publishing year

1986

Language

English

Pages

1152-1164

Publication/Series

Journal of Engineering Mechanics - ASCE

Volume

112

Issue

11

Document type

Journal article

Publisher

American Society of Civil Engineers (ASCE)

Topic

  • Mechanical Engineering

Status

Published

ISBN/ISSN/Other

  • ISSN: 1943-7889